The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.
| Author: Cornelius Greither |
| Publisher: Springer |
| Publication Date: Dec 14, 1992 |
| Number of Pages: 146 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3540563504 |
| ISBN-13: 9783540563501 |
